442544000 has 128 divisors (see below), whose sum is σ = 1165713120. Its totient is φ = 166502400.

The previous prime is 442543999. The next prime is 442544009. The reversal of 442544000 is 445244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442544009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271187 + ... + 272813.

Almost surely, 2^442544000 is an apocalyptic number.

442544000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582856560).

442544000 is an abundant number, since it is smaller than the sum of its proper divisors (723169120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442544000 is a wasteful number, since it uses less digits than its factorization.

442544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 442544000 is about 21036.7297838804. The cubic root of 442544000 is about 762.0535413820.

Adding to 442544000 its reverse (445244), we get a palindrome (442989244).

The spelling of 442544000 in words is "four hundred forty-two million, five hundred forty-four thousand".